Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 420 and 54.

**Answer**

$420=({2}^{2})(3)(5)(7)$

$54=(2)({3}^{3})$

The LCM of 420 and 54 is the product of the largest powers of each prime factor in both.

Thus the LCM of 420 and 54

$=({2}^{2})({3}^{3})(5)(7)$

$=3780$